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Chapter 6: Q. 28 (page 556)
The work required to pump all of the water out of a cylinder with radius 3.5 feet and depth 4 feet.
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For each pair of definite integrals in exercise 13-18 decide which if either is larger without computing the integrals
Consider the region between the graph of and the x-axis on [1,3]. For each line of rotation given in Exercises 31– 34, use definite integrals to find the volume of the resulting solid.
The centroid of the region between the graph of f(x) = x 2
and the x-axis on [0, 2].
Sketching disks ,washers and shells : sketch the three disks , washers , shells that result from revolving the rectangles shown in the figure around the given lines
The line
Each of the definite integrals in Exercises 19–24 represents the volume of a solid of revolution obtained by rotating a region around either the x- or y-axis. Find this region.
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